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Local description of homogeneous real hypersurfaces of the two-dimensional complex space in terms of their normal equations

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Abstract

In the paper, a classification of real hypersurfaces of the space ℂ2 that admit transitive actions of local Lie groups of holomorphic transformations is constructed.

Any nonspherical Levi nondegenerate homogeneous surface is determined by the triple of real coefficientsN 2520 ,N 440, ImN 421 of a Moser normal equation. All such surfaces are described by several quadratic curves in the space of above coefficcients.

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Authors
  1. A. V. Loboda
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Additional information

This work was partially supported by RFBR grant 96-01-01002.

Voronezh State Academy of Architecture and Civil Engineering. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 34, No. 2, pp. 33–42, April–June, 2000.

Translated by A. V. Loboda

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Loboda, A.V. Local description of homogeneous real hypersurfaces of the two-dimensional complex space in terms of their normal equations. Funct Anal Its Appl 34, 106–113 (2000). https://doi.org/10.1007/BF02482423

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  • DOI: https://doi.org/10.1007/BF02482423

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